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Everything about Cairo pentagonal tiling
Tiling of the plane by pentagons
In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net after Percy Alexander MacMahon, who depicted it in his 1921 publication New Mathematical Pastimes. John Horton Conway called it a 4-fold pentille. Wikipedia →
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- Read the overview: Cairo pentagonal tilingA 5-minute orientation
- Read the landmark paper: Quasicrystal approximants in isoreticular metal-organic frameworks via Cairo pentagonal tilingCited 42 times
- Go sideways: Hexagonal tilingA closely related topic
- Go sideways: Pentagonal tilingA closely related topic
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🔗 Related topics
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- Pentagonal tiling In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. A regular pentagonal tiling on the…
- Euclidean tilings by convex regular polygons Tilings of the Euclidean plane by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of…
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